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23832990720 = 2103357112239
BaseRepresentation
bin10110001100100011…
…101001010000000000
32021111221222101001000
4112030203221100000
5342302221200340
614540531412000
71502414035650
oct261443512000
967457871030
1023832990720
11a120113750
124751754000
13232a823396
1412213a4360
15947501d30
hex58c8e9400

23832990720 has 704 divisors, whose sum is σ = 105644851200. Its totient is φ = 4950097920.

The previous prime is 23832990707. The next prime is 23832990751. The reversal of 23832990720 is 2709923832.

23832990720 is a `hidden beast` number, since 238 + 329 + 90 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×238329907202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10643361 + ... + 10645599.

Almost surely, 223832990720 is an apocalyptic number.

23832990720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23832990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52822425600).

23832990720 is an abundant number, since it is smaller than the sum of its proper divisors (81811860480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23832990720 is a wasteful number, since it uses less digits than its factorization.

23832990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 23832990720 in words is "twenty-three billion, eight hundred thirty-two million, nine hundred ninety thousand, seven hundred twenty".